
diff -r 2a86c4c98622 -r 743984f4664e doc/symbols.tex
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/doc/symbols.tex	Fri Mar 28 08:36:08 2025 -0500
@@ -0,0 +1,166 @@
+\newcommand{\term}{\emph}
+
+\newcommand{\field}[1]{\mathbb{#1}}
+\newcommand{\N}{\mathbb{N}}
+\newcommand{\Z}{\mathbb{Z}}
+\newcommand{\Q}{\field{Q}}
+\newcommand{\R}{\field{R}}
+\newcommand{\extR}{\overline \R}
+\newcommand{\Complex}{\field{C}}
+\newcommand{\B}{\mathbb{B}}
+\newcommand{\OB}{\mathbb{O}}
+%\newcommand{\UU}{\mathbb{U}}
+% Trust regions are just normal balls.
+\let\UU\B
+\newcommand{\norm}[1]{\|#1\|}
+\newcommand{\adaptnorm}[1]{\left\|#1\right\|}
+\newcommand{\bignorm}[1]{\bigl\|#1\bigr\|}
+\newcommand{\Bignorm}[1]{\Bigl\|#1\Bigr\|}
+\newcommand{\abs}[1]{|#1|}
+\newcommand{\adaptabs}[1]{\left|#1\right|}
+\newcommand{\bigabs}[1]{\bigl|#1\bigr|}
+\newcommand{\inv}[1]{#1^{-1}}
+\newcommand{\grad}{\nabla}
+\newcommand{\freevar}{\,\boldsymbol\cdot\,}
+\newcommand{\Union}\bigcup
+\newcommand{\Isect}\bigcap
+\newcommand{\union}\cup
+\newcommand{\isect}\cap
+\newcommand{\bigunion}\bigcup
+\newcommand{\bigisect}\bigcap
+\newcommand{\powerset}{\mathcal{P}}
+\newcommand{\defeq}{:=}
+\newcommand{\set}[1]{\{#1\}}
+\newcommand{\downto}{\searrow}
+\newcommand{\upto}{\nearrow}
+\newcommand{\subdiff}{\partial}
+\newcommand{\pinv}[1]{#1^\dag}
+\newcommand{\overbar}[1]{\mkern 1.5mu\overline{\mkern-1.5mu#1\mkern-1.5mu}\mkern 1.5mu}
+
+\DeclareMathOperator*{\lip}{lip}
+\DeclareMathOperator*{\argmin}{arg\,min}
+\DeclareMathOperator*{\argmax}{arg\,max}
+\DeclareMathOperator{\interior}{int}
+\DeclareMathOperator{\ri}{ri}
+\DeclareMathOperator{\rbd}{rbd}
+\DeclareMathOperator{\closure}{cl}
+\DeclareMathOperator{\bd}{bd}
+\DeclareMathOperator{\sign}{sign}
+\DeclareMathOperator{\Sign}{Sign}
+\DeclareMathOperator{\rank}{rank}
+\DeclareMathOperator{\range}{ran}
+\DeclareMathOperator{\dom}{dom}
+\DeclareMathOperator{\cod}{cod}
+\DeclareMathOperator{\lev}{lev}
+\DeclareMathOperator{\conv}{conv}
+\DeclareMathOperator{\diam}{diam}
+\DeclareMathOperator{\epi}{epi}
+\DeclareMathOperator{\tr}{tr}
+\DeclareMathOperator{\diag}{diag}
+\DeclareMathOperator{\graph}{graph}
+\DeclareMathOperator{\cond}{cond}
+\DeclareMathOperator{\esssup}{ess\,sup}
+\DeclareMathOperator{\support}{supp}
+\DeclareMathOperator{\divergence}{div}
+\DeclareMathOperator{\Id}{Id}
+\DeclareMathOperator{\dist}{dist}
+\DeclareMathOperator{\Sym}{Sym}
+\DeclareMathOperator{\prox}{prox}
+\DeclareMathOperator{\gdesc}{g-desc}
+\DeclareMathOperator{\gexp}{g-exp}
+\DeclareMathOperator{\desc}{desc}
+
+\newcommand{\mathvar}[1]{\textup{#1}}
+
+\newcommand{\iprod}[2]{\langle #1,#2\rangle}
+%\newcommand{\dualprod}[2]{\langle #1 | #2\rangle}
+\newcommand{\dualprod}[2]{\langle #1,#2\rangle}
+\newcommand{\adaptiprod}[2]{\left\langle #1,#2\right\rangle}
+
+\newcommand{\weakto}{\mathrel{\rightharpoonup}}
+%\makeatletter
+\def \weaktostarSym{\setbox0=\hbox{$\rightharpoonup$}\rlap{\hbox 
+        to\wd0{\hss\raise1ex\hbox{$\scriptscriptstyle{*\,}$}\hss}}\box0}
+    \def \weaktostar    {\mathrel{\weaktostarSym}}
+%\makeatother
+
+\newcommand{\setto}{\rightrightarrows}
+
+\def\opt#1{\bar #1}
+\def\realopt#1{\widehat #1}
+\def\dir#1{\Delta #1}
+\def\alt#1{\tilde #1}
+\def\altalt#1{#1'}
+\def\this#1{#1^k}
+\def\nexxt#1{#1^{k+1}}
+\def\overnext#1{\bar #1^{k+1}}
+\def\prev#1{#1^{k-1}}
+\def\thisstar#1{#1^k^*}
+\def\nextstar#1{#1^{k+1}^*}
+\def\optstar#1{\opt{#1}^*}
+\def\realoptstar#1{\realopt{#1}^*}
+
+\def\optu{{\opt{u}}}
+\def\optv{{\opt{v}}}
+\def\optw{{\opt{w}}}
+\def\optx{{\opt{x}}}
+\def\opty{{\opt{y}}}
+\def\optz{{\opt{z}}}
+
+\def\realoptu{{\realopt{u}}}
+\def\realoptv{{\realopt{v}}}
+\def\realoptw{{\realopt{w}}}
+\def\realoptx{{\realopt{x}}}
+\def\realopty{{\realopt{y}}}
+\def\realoptz{{\realopt{z}}}
+
+\def\nextu{\nexxt{u}}
+\def\nextv{\nexxt{v}}
+\def\nextw{\nexxt{w}}
+\def\nextx{\nexxt{x}}
+\def\nexty{\nexxt{y}}
+\def\nextz{\nexxt{z}}
+
+\def\thisu{\this{u}}
+\def\thisv{\this{v}}
+\def\thisw{\this{w}}
+\def\thisx{\this{x}}
+\def\thisy{\this{y}}
+\def\thisz{\this{z}}
+
+\def\prevu{\prev{u}}
+\def\prevv{\prev{v}}
+\def\prevw{\prev{w}}
+\def\prevx{\prev{x}}
+\def\prevy{\prev{y}}
+\def\prevz{\prev{z}}
+
+\def\overnextu{\overnext{u}}
+\def\overnextx{\overnext{x}}
+
+\def\d{\,\mathrm{d}}
+
+\let\altphi\phi
+\let\phi\varphi
+\let\altepsilon\epsilon
+\let\epsilon\varepsilon
+
+\newcommand{\frechetNormal}{\widehat N}
+\newcommand{\frechetCod}{\widehat D^*}
+\newcommand{\clarkeTangent}{\widehat T}
+\newcommand{\clarkeGD}{\widehat D}
+\newcommand{\coderivative}{D^*}
+\newcommand{\polar}[1]{#1^{\circ}}
+\newcommand{\bipolar}[1]{#1^{\circ\circ}}
+\newcommand{\upperadj}[1]{#1^{\circ+}}
+\newcommand{\loweradj}[1]{#1^{\circ-}}
+
+\def\invstar#1{{#1}^{-1,*}}
+\def\pinvstar#1{{#1}^{\dagger*}}
+\def\starpinv#1{{#1}^{*\dagger}}
+
+\def\linear{\mathbb{L}}
+ 
+\def\QL{\mathop{QL}\nolimits}
+
+\def\lebesgue{\mathcal{L}}




